Mathematics

Studente che entra in facoltà
Bachelor
A.Y. 2019/2020
L-35 - Scienze matematiche (EN)
Bachelor
180
ECTS
Access
Open with admission self-assessment test
3
Years
Course location
Milano
Language
Italian

The degree programme in Mathematics is designed to provide students with a firm basic grounding in the field of mathematics, enabling them to investigate the modern formulation of mathematical disciplines, engage with various aspects of the subject, of a general, methodological and applied nature, and develop the competences needed to assimilate future scientific advances in the field. 

The Mathematics degree programme equips graduates to pursue careers in public and private facilities which require aptitudes in abstract reasoning, the formalisation and/or modelling of concrete problems and their solution through the use of the multiple mathematical tools available.

In particular, graduates are qualified to enter positions in banks, insurance companies, survey institutes, consulting or certifying companies, software development and design companies, companies and centres that operate in the medical, biomedical and pharmacological fields, in the ecological sphere and in the research and development sections of large firms, as well as in transport, telecommunications and aerospace sectors.

Graduates can also pursue further studies through a master's degree programme, such as the master's degree in Mathematics.

Application and admission: Open

There is a test to verify the knowledge, which must be taken before enrollment. The verification is carried out through TOLC tests (the tests valid for the registration are TOLC-S and TOLC-I, CISIA OnLine Test).

Additional learning obligations (OFA)

OFA: Disciplines

Students who do not pass the entrance examination on mathematics, are assigned additional learning obligations (OFA, Obblighi formativi aggiuntivi) that they must fulfil in accordance with the provisions of the Programme Structure.

OFA: English language  

Students are expected to attain level B1 proficiency in English.

Proficiency may be certified at the time of matriculation by submitting a certificate of level B1 language proficiency or better, or by sitting the SLAM (University Language Centre) placement test during the first year of studies only, between September and December. Students who do not pass the test must follow the SLAM language courses and obtain appropriate certification within the year the plan of study calls for a language exam.

Highly recommended, not mandatory

Courses list

First semester
Courses or activities ECTS Total hours Language
Compulsory
Algebra 1 9 89 Italian
Elements of Basic Mathematics 3 27 Italian
Geometry 1 6 60 Italian
Mathematical Analysis 1 9 89 Italian
Second semester
Courses or activities ECTS Total hours Language
Compulsory
General Physics 1 9 89 Italian
Geometry 2 9 89 Italian
Mathematical Analysis 2 6 60 Italian
Programming 1 6 63 Italian
First semester
Courses or activities ECTS Total hours Language
Compulsory
Algebra 2 6 60 Italian
Geometry 3 6 58 Italian
Mathematical Analysis 3 9 89 Italian
Numerical Analysis 1 9 93 Italian
Optional
Mathematical Methods and Models for the Applications 6 60 Italian
Second semester
Courses or activities ECTS Total hours Language
Compulsory
Geometry 4 9 89 Italian
Mathematical Analysis 4 6 58 Italian
Mathematical Physics 1 6 58 Italian
Probability and Mathematical Statistics 1 9 90 Italian
Optional
Topics in Scientific Computing 6 60 Italian
Study plan rules
1 - The student must obtain 9 credits with a course of choice among the following:
Courses or activities ECTS Total hours Language Lesson period
Algebra 3 9 89 Italian First semester
Mathematical Physics 3 9 89 Italian Second semester
First semester
Courses or activities ECTS Total hours Language
Compulsory
General Physics 2 9 89 Italian
Mathematical Physics 2 6 58 Italian
Optional
Probability and Mathematical statistics 2 9 90 Italian
Second semester
Courses or activities ECTS Total hours Language
Optional
General Physics 3 9 89 Italian
Mathematical Physics 3 9 89 Italian
Undefined
Courses or activities ECTS Total hours Language
Optional
Elements of Applied Mathematics 1 3 27 Italian
Conclusive activities
Courses or activities ECTS Total hours Language
Compulsory
Final Exam 3 Italian
Study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities ECTS Total hours Language Lesson period
Geometry 5 9 77 Italian First semester
Mathematical methods and models for applications 6 60 Italian First semester
Programming 2 6 60 Italian First semester
Algebra 4 6 58 Italian Second semester
Introduction to Image Processing 6 62 Italian Second semester
Numerical Linear Algebra 6 60 English Second semester
Scientific Computing 6 60 Italian Second semester
First semester
Courses or activities ECTS Total hours Language
Compulsory
English assessment B1 (3 ECTS) 3 Italian
Optional
Algebra 3 9 89 Italian
Geometry 5 9 77 Italian
Mathematical methods and models for applications 6 60 Italian
Programming 2 6 60 Italian
Second semester
Courses or activities ECTS Total hours Language
Optional
Algebra 4 6 58 Italian
Algorithms 9 89 Italian
Introduction to Image Processing 6 62 Italian
Numerical Linear Algebra 6 60 English
Scientific Computing 6 60 Italian
Undefined
Courses or activities ECTS Total hours Language
Optional
Educational Training 3 Italian
Essay Written under the Direction of a Staff Member 3 Italian
Internship at the Centre Matematita 3 Italian
Internship in Industry 3 Italian
Study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period
Algorithms 9 89 Italian Second semester
General Physics 3 9 89 Italian Second semester
4 - The student must obtain 6 credits with one or more of the following F-type activities:
Courses or activities ECTS Total hours Language Lesson period
Mathematical Methods and Models for the Applications 6 60 Italian First semester
Topics in Scientific Computing 6 60 Italian Second semester
Educational Training 3 Italian Undefined
Essay Written under the Direction of a Staff Member 3 Italian Undefined
Internship at the Centre Matematita 3 Italian Undefined
Per gli immatricolati a partire dall'anno accademico 2019/2020, l'esame del corso di Elementi di Matematica di Base è propedeutico a tutti i corsi del secondo e del terzo anno della laurea triennale, per qualsiasi curriculum. Inoltre, per sostenere altri esami è opportuno che gli studenti rispettino le propedeuticità consigliate dai docenti.
First semester
Courses or activities ECTS Total hours Language
Compulsory
Algebra 1 9 89 Italian
Elements of Basic Mathematics 3 27 Italian
Geometry 1 6 60 Italian
Mathematical Analysis 1 9 89 Italian
Second semester
Courses or activities ECTS Total hours Language
Compulsory
General Physics 1 9 89 Italian
Geometry 2 9 89 Italian
Mathematical Analysis 2 6 60 Italian
Programming 1 6 63 Italian
First semester
Courses or activities ECTS Total hours Language
Compulsory
Algebra 2 6 60 Italian
Geometry 3 6 58 Italian
Mathematical Analysis 3 9 89 Italian
Numerical Analysis 1 9 93 Italian
Second semester
Courses or activities ECTS Total hours Language
Compulsory
Mathematical Analysis 4 6 58 Italian
Mathematical Physics 1 6 58 Italian
Numerical Analysis 2 9 93 Italian
Probability and Mathematical Statistics 1 9 90 Italian
Optional
Introduction to Image Processing 6 62 Italian
First semester
Courses or activities ECTS Total hours Language
Compulsory
General Physics 2 9 89 Italian
Mathematical Physics 2 6 58 Italian
Probability and Mathematical statistics 2 9 90 Italian
Second semester
Courses or activities ECTS Total hours Language
Optional
General Physics 3 9 89 Italian
Undefined
Courses or activities ECTS Total hours Language
Compulsory
Elements of Applied Mathematics 1 3 27 Italian
Conclusive activities
Courses or activities ECTS Total hours Language
Compulsory
Final Exam 3 Italian
Study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities ECTS Total hours Language Lesson period
Geometry 5 9 77 Italian First semester
Mathematical methods and models for applications 6 60 Italian First semester
Programming 2 6 60 Italian First semester
Algebra 4 6 58 Italian Second semester
Introduction to Image Processing 6 62 Italian Second semester
Numerical Linear Algebra 6 60 English Second semester
Scientific Computing 6 60 Italian Second semester
First semester
Courses or activities ECTS Total hours Language
Compulsory
English assessment B1 (3 ECTS) 3 Italian
Optional
Geometry 5 9 77 Italian
Mathematical methods and models for applications 6 60 Italian
Programming 2 6 60 Italian
Second semester
Courses or activities ECTS Total hours Language
Optional
Algebra 4 6 58 Italian
Algorithms 9 89 Italian
Geometry 4 9 89 Italian
Numerical Linear Algebra 6 60 English
Scientific Computing 6 60 Italian
Undefined
Courses or activities ECTS Total hours Language
Optional
Educational Training 3 Italian
Essay Written under the Direction of a Staff Member 3 Italian
Internship at the Centre Matematita 3 Italian
Internship in Industry 3 Italian
Study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period
Algorithms 9 89 Italian Second semester
General Physics 3 9 89 Italian Second semester
5 - The student must obtain 3 credits with one or more of the following F-type activities.
Courses or activities ECTS Total hours Language Lesson period
Educational Training 3 Italian Undefined
Essay Written under the Direction of a Staff Member 3 Italian Undefined
Internship at the Centre Matematita 3 Italian Undefined
Internship in Industry 3 Italian Undefined
Per gli immatricolati a partire dall'anno accademico 2019/2020, l'esame del corso di Elementi di Matematica di Base è propedeutico a tutti i corsi del secondo e del terzo anno della laurea triennale, per qualsiasi curriculum. Inoltre, per sostenere altri esami è opportuno che gli studenti rispettino le propedeuticità consigliate dai docenti.
Sede
Milano
Sedi didattiche
Sede dell'ufficio per la didattica del Corso di Laurea Triennale in Matematica: Dipartimento di Matematica, Via Saldini 50.
Sede dei Corsi: i corsi si tengono in linea di massima presso le aule del Dipartimento di Matematica, via Saldini 50 o presso aule del Settore Didattico, Via Celoria 20
Ulteriori informazioni sulla struttura sono reperibili nel sito
http://www.ccdmat.unimi.it/it/informazioni/elencoAule.html
Sedi laboratori
Il corso di laurea si avvale principalmente dei laboratori presenti presso il Dipartimento di Matematica, via Saldini 50.
Si veda http://www.matematica.unimi.it/ecm/home/organizzazione/laboratori
Fees, scholarships and benefits

University fees

For students enrolled on bachelor’s, master’s and single cycle degree programmes are divided into two instalments of different amounts and with different payment deadlines:

  • the first, corresponding to the minimum amount, is the same for all students 
  • the second - technically referred to as an ‘all-inclusive fee’-  that is variable.

Students can also be entitled for tuition fee reductions such as:

More info at: Fees - current academic year

Scholarships and benefits

L’Ateneo fornisce inoltre una serie di agevolazioni economiche a favore dei propri studenti con requisiti particolari (merito, condizioni economiche o personali, studenti internazionali) come: